In order to proceed with the phenomenological discussions, we need to first fix the unknown resonance couplings. The high-energy behaviors of the various form factors and Green functions as dictated by QCD, can impose strong constraints to the resonance couplings in the R\(\chi \) T [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, [7]}. Many of the resonance couplings \(c_i\)  and \(d_j\)  in Eqs. (REF ) and (REF ) have been determined in such a way in Refs. [2]}, [5]}, [7]}. The relevant ones to our study read
\(c_1+4c_3=0\,,\qquad c_1-c_2+c_5=0\,, \qquad c_5-c_6=\frac{N_C M_V}{64 \sqrt{2} \pi ^2 F_V} \nonumber \\d_1+8d_2=-\frac{N_c M_V^2}{(8\pi F_V)^2}+\frac{F^2}{4F_V^2},\qquad d_3=-\frac{N_c M_V^2}{(8\pi F_V)^2}+\frac{F^2}{8F_V^2}\,,\) 
